2 Is a simplified method for dividing a polynomial by another polynomial with degree 1. A. Synthetic division B. Remainder theorem C. Long method divisio D. Factor theorem 3. This implies that if a polynomial is divided by x-c, the remainder is the value of the polynomial function at c. A. Remainder theorem B. Polynomials C. Factor theorem D. Synthetic division 4. If the polynomial f(x) is divided by x-c, then the remainder is; A. f (x) B. f(g) C.f (c) D. f ( a) 5. Divide x2 +3x- 10 by x-2. The quotient is, A. x + 5 C. x- 3 B. x-5 eonoupse oueioep en to mmed rD. x + 3 18

Q: Use synthetic division and the Remainder Theorem to evaluate P(c). P(x) = 2x2 + 9x + 1,  c = 1/2

A: A polynomial is basically a function, which can either be quadratic, cubic and so on in which the…

Q: 1. In Unit 1 you have learnt about the remainder theorem and long division. Compare and contrast…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Use synthetic division and the Remainder Theorem to evaluate P(c)P(c), where…

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Q: Use synthetic division to find P(–3) for P(x)=x^4–2x^3–4x+4P(x)=x4–2x3–4x+4.

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Q: If a polynomial f(x) when divided by (x – a) gives a remainder r1, and when divided by ( – b) gives…

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Q: Given the function f(x) = 6x - 7x + 3. Calculate the following values using synthetic division and…

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Q: If a third degree polynomial has a lone x-intercept at x=a , discuss what this implies about the…

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Q: Use synthetic division and the Remainder Theorem to evaluate P(c). P(x) = −2x6 + 7x5 + 40x4 − 5x2 +…

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Q: Suppose that p(x) = x^3+ ax^2 + x + 1 has a zero at x = 1, where a is some constant. Determine a,…

A: given p(x)=x3+ax2+x+1 has zero at x=1 Therefore substitute x=1 and equate with 0…

Q: Dividing the polynomial P(x) by x-1 yields a quotient Q(x) and a remainder of 4.  If Q(-1)=3, Find…

A: P(x) =Q(x) (x-c) + R(x)when the factor is (x-1)R(x)=4P(x)=Q(x) (x-1)+4P(1) =0 +4P(1) =4

Q: - Use synthetic division to factor the polynomial x + 3x- 10x - 24 completely if 3 is a zero. AY

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Q: 5. Suppose you use polynomial long division to divide p(x) by q(x), and after doing your…

A: We know that, the number which we divide is called the dividend. The number by which we divide is…

Q: Use synthetic division and the Remainder Theorem to evaluate P(c). P(x) = 3x3 + 15x2 − 5x + 1, c = 1…

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Q: Express the second order polynomial p(x) = x^2 + 4x + 13 in the sum of square form. a. (x+2)^ 2 -…

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Q: 1. In Unit 1 you have learnt about the remainder theorem and long division. Compare and contrast the…

A: Note: There are multiple sub questions. No specific question has been asked. So, We will solve the…

Q: 1. In Unit 1 you have learnt about the remainder theorem and long division. Compare and contrast the…

A: (1) Compare and contrast the usefulness of Remainder theorem and long division theorem.

Q: Find the roots and the factors of the given polynomials using the rational roots theorem. 5x4 +…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and…

A: The given polynomials are,P(x)=x4+3x3-16x, D(x)=x-4

Q: Use synthetic division and the Remainder Theorem to evaluate P(c). P(x) = x7 - x2 + 5, c = 1 P(1)

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Q: A shortcut for long division of polynomials is ________ ________, in which the divisor must be of…

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Q: 2) The polynomial function f(x) = x³ – 4x² + ax – 12 has (x – 4) as one of its factors. What would…

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Q: -1 . Compare the number of multiplications and additions/subtractions needed by the "long division”…

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Q: Consider the polynomial function p(x)=3x^4−5x^3+5x^2+4. Use polynomial long division to perform the…

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Q: Compare and contrast the usefulness of both the remainder theorem and long division

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Q: Use synthetic division and the Remainder Theorem to evaluate P(c). P(x) = 3x2 + 12x + 4,    c = −3

A: Reminder theorem states that when an polynomial f(x) is divide by a term x-c where c is a constant,…

Q: We applied the Polynomial Lagrange Interpolation method to obtain the second degree interpolating…

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Q: 1. Use synthetic division to show that c = 2 is a zero of P (x) = x' – 9x + 10 and then find all the…

A: If c= 2 is a zero of the given polynomial P(x), then after synthetic division we will get reminder…

Q: Write a polynomial, P(x), in factored form given the following requirements. Degree: 4 Leading…

A: Given, p(x) has Degree: 4 Leading coefficient 1 Zeros at (5,0), (−2,0) and (−3,0) y-intercept at…

Q: Use synthetic division and the Remainder Theorem to evaluate P(c). P(x) = 5x3 + 11x² – 6x + 7, c= 1…

A: Given Data: Function: Px=5x3+11x2-6x+7 According to the remainder theorem, when P(x) is divided by…

Q: 1 In Unit 1 you have learned about the remainder theorem and long division. Compare and contrast the…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Use synthetic division and the Remainder Theorem to evaluate P(c). P(x) = x3 - x2 + x + 5,  c = -1

A: Px=x3-x2+x+5,  c=-1

Q: A cubic polynomial ,k(x)=x^3+bx^2+cx−4,has a remainderof−2 when divided by x−1 and a remainder of…

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Q: Find a polynomial of degree 4 that has a real coefficient and has 3,2 and 2+i as some of its roots

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Q: The remainder upon the division of x98 +4 by x - 2 in z, is:

A: We have to use remainder theorem.

Q: compare and contrast the usefullness of remainder theorem and long division

A: The remainder theorem is used to divide two polynomials. The long division method is used to divide…

Q: 1) a. Apply Horner's rule to evaluate the polynomial p(x) = 3x5 - 2x¹ + x³ - 2x + 5 b. Use the…

A: a Given polynomial is px=3x5−2x4+x3−2x+5. We have to evaluate the given polynomial at x=-2. The…

Q: 1. In Unit 1 you have learnt about the remainder theorem and long division. Compare and contrast the…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: If a third degree polynomial has a lone x-intercept at x = a , discuss what this implies about the…

A: Topic : Equations

Q: Consider the polynomial function p(x)=3x^4−x^3−x^2−3x+3. Use polynomial long division to perform…

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Q: Find the quotient using synthetic division. BE AE 35. (2x +3x+4x² +24x-45)+ (x+3) 36. (x* -5x'…

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Q: In Unit 1 you have learnt about the remainder theorem and long division. Compare and contrast the…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Use synthetic division and the Remainder Theorem to evaluate P(c). P(x) = 3x3 + 4x2 - 2x + 1,  c =…

A: Use the synthetic division to divide 3x3+4x2-2x+1 by 3x-2. 3  4  -2    13  6     2   2.33323

Q: Use synthetic division and the Remainder Theorem to evaluate P(c). P(x)=2x^2+9x+1  c=1/2

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Q: 17. Refer to Example 29.19 of the text. The polynomial x2 +x+1 has a zero a in Z2(@) and thus must…

A: The polynomial x2+x+1 has a zero α in ℤ2α. Since the polynomial has a root in ℤ2α, it is reducible…

Q: Use synthetic division and the Remainder Theorem to evaluate P(c). P(x) = 5x2 + 12x + 1, C = -1…

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Q: 1. In Unit 1 you have learnt about the remainder theorem and long division. Compare and contrast the…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: In Unit 1 you have learnt about the remainder theorem and long division.Compare and contrast the…

A: Since you have asked multiple questions, we are answering the first question for you as for now. If…

Q: 2) Perform the following division of polynomials by synthetic division. b) (3x* + 10x3 – 22x² + 14x…

A: Consider the given polynomial,   3x4+10x3-22x2+14x-3÷x2+4x-5   Further simplify the polynomial.…

Q: 17) Perform the following division of polynomials by synthetic division. (x* – x³ – 9x² + 29x – 30)…

A: Given (x4-x3-9x2+29x-30) ÷ x2-3x+4

Q: Use synthetic division to show that c is a zero of f (x) .

A: Given: fx=4x3-9x2-8x-3;     c=3 Write the problem in a division-like format. To do this: Take the…